25400-11 Basic Algebra I

Autumn 2008

Instructor	Dr. Thomas M. Fiore
Instructor Email	fiore"at"math.uchicago.edu
Instructor Office Hours	Mondays 9:30am-10:30am, Fridays 3pm-4pm, in Room 416 Eckhart Hall.
Class Meeting Times		Mondays, Wednesday, Fridays, 8:30am-9:20am, Room 207 Eckhart Hall.

Textbook	A First Course in Abstract Algebra, by John B. Fraleigh, Seventh Edition.
Exams		In-Class Exam I: Wednesday, October 15th In-Class Exam II: Friday, November 7th Final Exam: Monday, December 8th, 8am-10am

Syllabus	Syllabus in PDF Format
Topics Covered	Most of Chapters 0-4 and perhaps a bit of Chapter 5. We will also have some examples from mathematical music theory, see below (No knowledge of music theory needed!)
Applications of Abstract Algebra	On my Music Page you can find surprising applications of abstract algebra to music theory.

Examples from Music Theory.
Audio Samples and Scores are on the Chalk Site.

Homework 5: Introduction to the neo-Riemannian PLR-Group and
its Structure.

Homework 7: The Structure of the neo-Riemannian PLR-Group Part II.

Group Actions in neo-Riemannian Music Theory. Slides for Colloquium Presentation at Wayne State University.

Musical Actions of Dihedral Groups.
Joint with Alissa Crans and Ramon Satyendra.
In press at the American Mathematical Monthly, since June 2008. 27 pages.

Homework will be regularly posted on the Chalk Site.

Remark: The template for this site goes back to Miklos Abert – who got it from someone else.